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Gravitation
About: Gravitation is a research topic. Over the lifetime, 29306 publications have been published within this topic receiving 821510 citations.
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TL;DR: In this article, the correlation functions of operators in these models can also be easily computed and it is shown that two kinds of operators, microscopic and macroscopic loops, contain all the information about integrals over the surface of local operators.
243 citations
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TL;DR: In this paper, a general analytic procedure is developed to deal with the Newtonian limit of $f(R)$ gravity, and the post-Newtonian parameters of such theories without any redefinition of the degrees of freedom, in particular without adopting some scalar fields and without any change from Jordan to Einstein frame.
Abstract: A general analytic procedure is developed to deal with the Newtonian limit of $f(R)$ gravity. A discussion comparing the Newtonian and the post-Newtonian limit of these models is proposed in order to point out the differences between the two approaches. We calculate the post-Newtonian parameters of such theories without any redefinition of the degrees of freedom, in particular, without adopting some scalar fields and without any change from Jordan to Einstein frame. Considering the Taylor expansion of a generic $f(R)$ theory, it is possible to obtain general solutions in terms of the metric coefficients up to the third order of approximation. In particular, the solution relative to the ${g}_{tt}$ component gives a gravitational potential always corrected with respect to the Newtonian one of the linear theory $f(R)=R$. Furthermore, we show that the Birkhoff theorem is not a general result for $f(R)$ gravity since time-dependent evolution for spherically symmetric solutions can be achieved depending on the order of perturbations. Finally, we discuss the post-Minkowskian limit and the emergence of massive gravitational wave solutions.
243 citations
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TL;DR: In this paper, for spacetimes of arbitrary dimension, the general two-derivative gravity plus scalar field theory allowing anti-de Sitter space as a solution was considered.
243 citations
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TL;DR: In this article, it was shown that quantum gravity and gauge theories are actually dual, the same system written in different variables, and that these two systems can be expressed in different ways.
Abstract: Gauge theories, which describe the particle interactions, are well understood, while quantum gravity leads to many puzzles. Remarkably, in recent years we have learned that these are actually dual, the same system written in different variables. On the one hand, this provides our most precise description of quantum gravity, resolves some long-standing paradoxes, and points to new principles. On the other, it gives a new perspective on strong interactions, with surprising connections to other areas of physics. I describe these ideas, and discuss current and future directions.
242 citations
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TL;DR: In this paper, nonlinear Schrodinger equation with gravitational self-interacting term was proposed and the separability conditions of Bialynicki-Birula were satisfied in asymptotic sense.
Abstract: We propose nonlinear Schrodinger equation with gravitational self-interacting term. The separability conditions of Bialynicki-Birula are satisfied in asymptotic sense. Solitonlike solutions were found.
242 citations